Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For
x
=
e
t
+
t
x=e^{t}+t
x
=
e
t
+
t
and
y
=
e
−
t
y=e^{-t}
y
=
e
−
t
,
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
equals a)
e
−
t
−
2
(
e
t
+
1
)
3
\dfrac{e^{-t}-2}{(e^{t}+1)^{3}}
(
e
t
+
1
)
3
e
−
t
−
2
b)
2
+
e
t
(
e
t
+
1
)
3
\dfrac{2+e^{t}}{(e^{t}+1)^{3}}
(
e
t
+
1
)
3
2
+
e
t
c)
2
+
e
−
t
(
e
t
+
1
)
3
\dfrac{2+e^{-t}}{(e^{t}+1)^{3}}
(
e
t
+
1
)
3
2
+
e
−
t
d)
2
+
e
−
t
(
e
t
+
1
)
2
\dfrac{2+e^{-t}}{(e^{t}+1)^{2}}
(
e
t
+
1
)
2
2
+
e
−
t
Browse the problem library